== include(page="template/taskheader" task_id="sumtree") ==
You are given a tree with $N$ nodes. Each node has values assigned to it, value[i]. You must calculate the sum cost of every pair nodes $(u, v)$, where $gcd(value[u], value[v]) > 1$ and $u$ ≠ $v$. For a pair of nodes $(u, v)$, we define the cost of that path to be the sum of value of all nodes that lie inside the $(u, v)$ path.
You are given a tree with $N$ nodes. Each node has values assigned to it, <tex> value_i </tex>. You must calculate the sum cost of every pair nodes $(u, v)$, where <tex>gcd(value_u, value_v) > 1</tex> and $u$ ≠ $v$. For a pair of nodes $(u, v)$, we define the cost of that path to be the sum of value of all nodes that lie inside the $(u, v)$ path.
h2. Date de intrare
The first line of the input will contain $N$ (1 ≤ $N$ ≤ 100000), the number of nodes. The second line will contain $N$ numbers, the $i-th$ number, representing the value[i] (1 ≤ $value[i]$ ≤ 30000). Each of the next $N - 1$ lines will contain a pair of nodes $(u, v)$, each representing an edge of the tree.
For tests worth $20$ points (1 ≤ $N$ ≤ 1000)
For tests worth $20$ more points, value[i] = value[1] for $i = 1, 2,...n$
The first line of the input will contain $N$, the number of nodes. The second line will contain $N$ numbers, the $i-th$ number, representing the <tex>value_i</tex>. Each of the next $N - 1$ lines will contain a pair of nodes $(u, v)$, each representing an edge of the tree.
h2. Date de ieşire
The output will contain the sum of costs over all pairs of nodes $(u, v)$, such that $gcd(value[u], value[v]) > 1$
The output will contain the sum of costs over all pairs of nodes $(u, v)$, such that <tex>gcd(value_u, value_v) > 1</tex>
h2. Restricţii
* 1 ≤ $N$ ≤ 100000
* 1 ≤ <tex>value_i</tex> ≤ 30000
* For the first subtask (1 ≤ $N$ ≤ 1000)
* For the second subtask, <tex> value_i = value_1 </tex> for $i = 1, 2,...n$
h2. Exemplu
table(example). |_. sumtree.in |_. sumtree.out |
| 5
2 7 14 22 77
1 2
